A rope is tied from the top of a flag pole to the ground. If the rope is 28 ft long and makes a 15 degree angle with the ground, how far away is where it is tied to from the base of the flag pole? Round your answer to the nearest hundredth.

Answer 1

To find the distance from where the rope is tied to the base of the flag pole, we can use trigonometry and the sine function.

Let x be the distance from where the rope is tied to the base of the flag pole.

sin(15 degrees) = opposite/hypotenuse
sin(15 degrees) = x/28
x = 28 * sin(15 degrees)
x = 7.21

Therefore, the distance from where the rope is tied to the base of the flag pole is approximately 7.21 feet.